131141402330100 has 288 divisors, whose sum is σ = 402112263168000. Its totient is φ = 32950911552000.

The previous prime is 131141402330087. The next prime is 131141402330119. The reversal of 131141402330100 is 1033204141131.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63554401 + ... + 65585399.

It is an arithmetic number, because the mean of its divisors is an integer number (1396223136000).

Almost surely, 2^{131141402330100} is an apocalyptic number.

131141402330100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131141402330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201056131584000).

131141402330100 is an abundant number, since it is smaller than the sum of its proper divisors (270970860837900).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131141402330100 is a wasteful number, since it uses less digits than its factorization.

131141402330100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2031231 (or 2031224 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 131141402330100 its reverse (1033204141131), we get a palindrome (132174606471231).

The spelling of 131141402330100 in words is "one hundred thirty-one trillion, one hundred forty-one billion, four hundred two million, three hundred thirty thousand, one hundred".